Skip to main content

Quadratic Programming

  • Chapter
  • 179k Accesses

Part of the book series: International Series in Operations Research & Management Science ((ISOR,volume 196))

Abstract

In Chapter 23, we studied a generalization of the linear programming problem in which variables were constrained to take on integer values. In this chapter, we consider a generalization of a different kind. Namely, we shall study the class of problems that would be linear programs except that the objective function is permitted to include terms involving products of pairs of variables. Such terms are called quadratic terms, and the problems we shall study are called quadratic programming problems.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   69.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Bibliography

  • Bertsekas, D. (1995). Nonlinear programming. Belmont: Athena Scientific.

    Google Scholar 

  • Markowitz, H. (1959). Portfolio selection: Efficient diversification of investments. New York: Wiley.

    Google Scholar 

  • Monteiro, R., and Adler, I. (1989). Interior path following primal-dual algorithms: Part i: Linear programming. Mathematical Programming, 44, 27–41.

    Google Scholar 

  • Nash, S., and Sofer, A. (1996). Linear and nonlinear programming. New York: McGraw-Hill.

    Google Scholar 

  • Vanderbei, R. (1999). LOQO: An interior point code for quadratic programming. Optimization Methods and Software, 12, 451–484.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer Science+Business Media New York

About this chapter

Cite this chapter

Vanderbei, R.J. (2014). Quadratic Programming. In: Linear Programming. International Series in Operations Research & Management Science, vol 196. Springer, Boston, MA. https://doi.org/10.1007/978-1-4614-7630-6_24

Download citation

Publish with us

Policies and ethics